Testing hypotheses in an I (2) model with piecewise linear trends. An analysis of the persistent long swings in the Dmk/$ rate

S Johansen, K Juselius, R Frydman, M Goldberg - Journal of Econometrics, 2010 - Elsevier
This paper discusses the I (2) model with breaks in the deterministic component and
illustrates the model with an analysis of German and US prices, exchange rates, and interest …

Linear or nonlinear cointegration in the purchasing power parity relationship?

AA Haug, SA Basher - Applied Economics, 2011 - Taylor & Francis
We test long-run Purchasing Power Parity (PPP) within a general model of cointegration of
linear and nonlinear form. Nonlinear cointegration is tested with rank tests of Breitung. We …

The likelihood ratio test for cointegration ranks in the I (2) model

HB Nielsen, A Rahbek - Econometric Theory, 2007 - cambridge.org
This paper presents the likelihood ratio (LR) test for the number of cointegrating relations in
the I (2) vector autoregressive model. It is shown that the asymptotic distribution of the LR …

Testing for near I (2) trends when the signal-to-noise ratio is small

K Juselius - Economics, 2014 - degruyter.com
Researchers seldom find evidence of I (2) in exchange rates, prices, and other
macroeconomics time series when they test the order of integration using univariate Dickey …

A residual-based ADF test for stationary cointegration in I (2) settings

J Gomez-Biscarri, J Hualde - Journal of Econometrics, 2015 - Elsevier
We propose a residual-based augmented Dickey–Fuller (ADF) test statistic that allows for
detection of stationary cointegration within a system that may contain both I (2) and I (1) …

Purchasing power parity between the UK and Germany: the euro era

G Canarella, SM Miller, SK Pollard - Open Economies Review, 2014 - Springer
We use the Johansen cointegration approach to assess the empirical validity of the
purchasing power parity (PPP) between the UK and Germany since the introduction of the …

Speed of adjustment in cointegrated systems

L Fanelli, P Paruolo - Journal of Econometrics, 2010 - Elsevier
This paper discusses summary measures for the speed of adjustment in possibly
cointegrated Vector Autoregressive Processes (VAR). In particular we propose long-run half …

An I (2) cointegration model with piecewise linear trends

T Kurita, H Bohn Nielsen, A Rahbek - The Econometrics Journal, 2011 - academic.oup.com
This paper presents likelihood analysis of the I (2) cointegrated vector autoregression which
allows for piecewise linear deterministic terms. Limiting behaviour of the maximum …

A resolution of the purchasing power parity puzzle: Imperfect knowledge and long swings

R Frydman, MD Goldberg, S Johansen… - Available at SSRN …, 2009 - papers.ssrn.com
Asset prices undergo long swings that revolve around benchmark levels. In currency
markets, fluctuations involve real exchange rates that are highly persistent and that move in …

Long run non-linearity in CO2 emissions: the I(2) cointegration model and the environmental Kuznets curve

BK Kivedal - Empirica, 2023 - Springer
I utilize the I (2) cointegration model to assess the empirical relevance of the environmental
Kuznets curve for CO2 emissions in the US between 1960 and 2014. This takes the non …